An experiment was conducted in which a substrate concentration S (in M) was varied and a reaction rate V (in M/s) was measured for each value of S. The following (pretend) data were obtained.

The data are expected to follow the equation V(S) = Vm S 3 K3 + S 3 .
Using the experimental data, follow the steps below to determine the values of K and Vm.

a. Linearise the equation by writing 1 V as a function of 1 S 3 .

b. Compare the linearised equation to the equation of a line y = mx +

b, and express m and b in terms of K and Vm.

c. Express K and Vm in terms of the slope and y intercept.

d. Construct a table of values for x and y by appropriately modifying the experimental data.

e. Plot the modified experimental data and construct a line through these two points. Calculate the values of m and b for this line.

f. Calculate K and Vm using the slope and y intercept of the line calculated above.